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3 years ago

What is the solution to 4log4(x+8)=4^2

Mathematics

2 answers:

nexus9112 [7]3 years ago

5 0

Answer:

The answer is 8.

Step-by-step explanation:

Just took the test and it was correct.

natima [27]3 years ago

4 0

Answer:

x=248

Step-by-step explanation:

4log4(x+8)=4^2

Divide each side by 4

4/4log4(x+8)=4^2 /4

log4(x+8)=4

Using logb(x) = a yields b^a =x

4^4 = x+8

256 = x+8

Subtract 8 from each side

256-8 = x+8-8

248 =x

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Which geometric series diverges? Three-fifths three-tenths three-twentieths StartFraction 3 Over 40 EndFraction ellipsis Negativ

Sholpan [36]

The geometric series which diverges is shown in the option number c as the absolute value of the common ratio of this series 4.

$\sum_{n=1 }^{\infty} \dfrac{2}{3}(-4)^{n-1}$

<h3>What is geometric series diverges? </h3>

Geometric sequence is the sequence in which the next term is obtained by multiplying the previous term with the same number for the whole series.

It can be given as,

$a+ar+ ar^2+ ar^3+...$

Here,

is the (<em>a</em>) first term of the sequence, and (<em>r</em>) is the common ratio.

To be a series as geometric series diverges, it should follow,

$|r| > 1$

First option given as,

3/5+3/10+3/20+3/40+ ...

Here, the common ratio is,

$r=\dfrac{\dfrac{3}{10}}{\dfrac{3}{5}}\\r=\dfrac{1}{2}$

The common ratio is less than one. Thus option a is not correct.

First option given as,

-10+4-8/4+18/25- ...

Here, the common ratio is,

$r=\dfrac{4}{-10}\\r=\dfrac{-2}{5}$

For the option number two the common ratio is (-2/5) which is less than 1. This option is also not correct.

In the option number c, the value of common ratio is -4. The absolute value of common ratio is,

$|r|=|-4|\\|r|=4$

The absolute value of this common ratio is more than one. Thus, this is the correct option.

The geometric series which diverges is shown in the option number c as the absolute value of the common ratio of this series 4.

$\sum_{n=1 }^{\infty} \dfrac{2}{3}(-4)^{n-1}$

Learn more about the geometric sequence here;

brainly.com/question/1509142

7 0

2 years ago

Joe wants to rent a scooter for a day. It will cost the daily fee of $15 plus $0.25 per mile driven. Let m = the number of miles

Artyom0805 [142]

Answer:

What you´re going to do, is 0.25 x 20, and that is about 5.00. Then you do 15 + 5 and you get 20 dollars for 20 miles. M = $20

Step-by-step explanation:

4 0

3 years ago

Complete the equation of the graphed linear function. Write the slope in decimal form.

Leno4ka [110]

Y=mx+b
m=slope
b=y intercept, aka where the line crosses the y axis or where x=0

we can find the y axis by looking
it crosses the y axis at 4 units up
so
b=4
y=mx+4
we also se another point
(-5,0)
when x=-5, y=0
0=m(-5)+4
solve for m
0=m(-5)+4
subtract 4
-4=m(-5)
divide both sides by -5
-4/-5=4/5=m

equaiton is
y=4/5x+4
y=0.8x+4

8 0

4 years ago

Jerry has a bag of counters.

Bad White [126]

Blue is the answer....

6 0

3 years ago

Ann Landers – who wrote a daily advice column appearing in newspapers across the country – once asked her readers, "If you had i

elena55 [62]

Answer:

It shows that the survey is meaningless because of voluntary response bias.

Step-by-step explanation:

This survey in the question provides a very good example of voluntary response bias and this often overrepresents negative opinions. Now, the people who chose to respond were most likely parents who were very unhappy, and so, there is very little chance that the 10,000 respondents were representative of the population. Knowing more about her readers, or taking a sample of the sample, would not have helped.

Thus, we can conclude that ;The survey is meaningless because of voluntary response bias.

8 0

3 years ago